Sumários
Aula 24
30 Março 2023, 13:00 • Rita Sousa
Regra da cadeia (nas suas várias vertentes em IR^n). Derivação implícita para uma função de apenas duas variáveis.
Aula TP 24
30 Março 2023, 11:00 • Rita Sousa
Regra da cadeia: caso 1 e caso 2.
Exercícios 5 e 8.
Derivação implícita.
Exercícios 9 e 10 (PUC - semana 8).
Lecture 24
30 Março 2023, 11:00 • Rita Sousa
THEORY
- The Chain Rule for real functions of two (and three) real variables:
- The 1st case of the chain rule for real functions of two (and three) real variables;
- The 2nd case of the chain rule for real functions of two (and three) real variables;
- Implicit differentitation (revisited):
- Refresher: the notion of an implicit real function of one real variable;
- Refresher: the method of implicit differentiaton;
- The Implicit Function Theorem for real functions of two real variables;
PRACTICE
The following exercises from the CUP - Week 8 were discussed:
- Ex. 5 and 8
BIBLIOGRAPHY
Sections 14.4 and 14.5 of James Stewart, "Calculus, Early Transcendentals", International Metric Edition, 8th Edition, 2017, Cengage Learning.